Abstract

We derive an equation that enables to get the floating distance of floating images of an arc 3D display by the radius of the arc, the angle of the arc 3D substrate, the light source illumination angle, and the observer’s angle. Conventional theoretical expression for the positions of the light source and observer relative to the center of the arc have been used to calculate the floating distance. However, when the arc3D substrate is inclined, it becomes more difficult to determine the floating distance from the actual positions of the light source and observer. In this paper, we derive an equation to approximate the floating distance from the positions of the light source and the observer while considering the tilt of the arc3D substrate and check the accuracy of the derived equation through experiments.

中文翻译：

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弧形3D显示器浮动距离随基板倾角变化的分析

摘要

我们推导了一个方程，通过弧形半径、弧形3D基板的角度、光源照射角度和观察者的角度，可以得到弧形3D显示器的浮动图像的浮动距离。光源和观察者相对于圆弧中心的位置的传统理论表达式已用于计算浮动距离。然而，当arc3D基板倾斜时，确定光源和观察者的实际位置的浮动距离变得更加困难。在本文中，我们在考虑arc3D基板倾斜的情况下推导了一个方程来近似从光源和观察者的位置开始的浮动距离，并通过实验检验了推导方程的准确性。